Results 71 to 80 of about 7,690 (255)

GENERALIZATION OF INEQUALITIES ANALOGOUS TO HERMITE-HADAMARD INEQUALITY VIA FRACTIONAL INTEGRALS

, 2015
. Some Hermite–Hadamard type inequalities for the fractionalintegrals are established and these results have some relationship withthe obtained results of [11, 12]. 1. IntroductionThe usefulness of inequalities involving convex functions is realized from
M. Iqbal, M. I. Bhatti, K. Nazeer
semanticscholar   +1 more source

Quantum Ghost Imaging by Sparse Spatial Mode Reconstruction

Advanced Quantum Technologies, Volume 8, Issue 5, May 2025.
Hermite–Gaussian spatial modes are used in quantum ghost imaging for enhanced image reconstruction, by exploiting modal sparsity. By leveraging structured light as a basis for imaging, time‐efficient and high resolution quantum ghost imaging is achieved, paving the way for breakthroughs in low‐light, biological science applications.
Fazilah Nothlawala, Chané Moodley, Neelan Gounden, Isaac Nape, Andrew Forbes   +4 more
wiley   +1 more source

Hermite–Hadamard-type inequalities via n-polynomial exponential-type convexity and their applications

Advances in Difference Equations, 2020
In this paper, we give and study the concept of n-polynomial ( s , m ) $(s,m)$ -exponential-type convex functions and some of their algebraic properties. We prove new generalization of Hermite–Hadamard-type inequality for the n-polynomial ( s , m ) $(s,m)
Saad Ihsan Butt, Artion Kashuri, Muhammad Tariq, Jamshed Nasir, Adnan Aslam, Wei Gao   +5 more
doaj   +1 more source

Sketched and Truncated Polynomial Krylov Methods: Evaluation of Matrix Functions

Numerical Linear Algebra with Applications, Volume 32, Issue 1, February 2025.
ABSTRACT Among randomized numerical linear algebra strategies, so‐called sketching procedures are emerging as effective reduction means to accelerate the computation of Krylov subspace methods for, for example, the solution of linear systems, eigenvalue computations, and the approximation of matrix functions.
Davide Palitta, Marcel Schweitzer, Valeria Simoncini   +2 more
wiley   +1 more source

Extensions of Hermite–Hadamard inequalities for harmonically convex functions via generalized fractional integrals

Journal of Inequalities and Applications, 2021
In the paper, the authors establish some new Hermite–Hadamard type inequalities for harmonically convex functions via generalized fractional integrals.
Xue-Xiao You, Muhammad Aamir Ali, Hüseyin Budak, Praveen Agarwal, Yu-Ming Chu   +4 more
doaj   +1 more source

On multiparametrized integral inequalities via generalized α‐convexity on fractal set

Mathematical Methods in the Applied Sciences, Volume 48, Issue 1, Page 980-1002, 15 January 2025.
This article explores integral inequalities within the framework of local fractional calculus, focusing on the class of generalized α$$ \alpha $$‐convex functions. It introduces a novel extension of the Hermite‐Hadamard inequality and derives numerous fractal inequalities through a novel multiparameterized identity.
Hongyan Xu, Abdelghani Lakhdari, Fahd Jarad, Thabet Abdeljawad, Badreddine Meftah   +4 more
wiley   +1 more source

An Estimation of Different Kinds of Integral Inequalities for a Generalized Class of Godunova–Levin Convex and Preinvex Functions via Pseudo and Standard Order Relations

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
The connection between generalized convexity and analytic operators is deeply rooted in functional analysis and operator theory. To put the ideas of preinvexity and convexity even closer together, we might state that preinvex functions are extensions of convex functions. Integral inequalities are developed using different types of order relations, each
Zareen A. Khan, Waqar Afzal, Nikhil Khanna   +2 more
wiley   +1 more source

Hermite-Hadamard type inequalities for p-convex functions via fractional integrals

Moroccan Journal of Pure and Applied Analysis, 2017
In this paper, we present Hermite-Hadamard inequality for p-convex functions in fractional integral forms. we obtain an integral equality and some Hermite-Hadamard type integral inequalities for p-convex functions in fractional integral forms.
Kunt Mehmet, İşcan İmdat
doaj   +1 more source

Some Hadamard–Fejér Type Inequalities for LR-Convex Interval-Valued Functions

Fractal and Fractional, 2021
The purpose of this study is to introduce the new class of Hermite–Hadamard inequality for LR-convex interval-valued functions known as LR-interval Hermite–Hadamard inequality, by means of pseudo-order relation ( ≤p ).
Muhammad Bilal Khan, Savin Treanțǎ, Mohamed S. Soliman, Kamsing Nonlaopon, Hatim Ghazi Zaini   +4 more
doaj   +1 more source

Generalization of q‐Integral Inequalities for (α, ℏ − m)‐Convex Functions and Their Refinements

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
This article finds q‐ and h‐integral inequalities in implicit form for generalized convex functions. We apply the definition of q − h‐integrals to establish some new unified inequalities for a class of (α, ℏ − m)‐convex functions. Refinements of these inequalities are given by applying a class of strongly (α, ℏ − m)‐convex functions. Several q‐integral
Ria H. Egami, Waseela Bibi, B. A. Younis, Ghulam Farid, Mohammed Ali, Shrideh K. Q. Al-Omari   +5 more
wiley   +1 more source